Induction of correct centrifugal force in a rotating mass shell
Abstract
Mach's idea of relativity of rotation is confirmed for a shell-type model of the universe by showing that flat geometry in rotating coordinates,realizing correct Coriolis and centrifugal forces, can be continuously connected through a rotating mass shell with not exactly spherical shape and latitude-dependent mass density to an asymptotically Minkowskian outside metric. The corresponding solutions of Einstein's field equations are given to second order in the angular velocity omega but it is plausible that the problem has a solution to any order of omega.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- November 1985
- DOI:
- 10.1088/0264-9381/2/6/015
- Bibcode:
- 1985CQGra...2..909P
- Keywords:
-
- Astronomical Models;
- Centrifugal Force;
- Rotating Matter;
- Spherical Shells;
- Universe;
- Angular Velocity;
- Astronomical Coordinates;
- Coriolis Effect;
- Einstein Equations;
- Minkowski Space;
- Astrophysics